12133122100 has 36 divisors (see below), whose sum is σ = 28722411648. Its totient is φ = 4412044000.

The previous prime is 12133122091. The next prime is 12133122119. The reversal of 12133122100 is 122133121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5513956 + ... + 5516155.

It is an arithmetic number, because the mean of its divisors is an integer number (797844768).

Almost surely, 2^12133122100 is an apocalyptic number.

12133122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133122100 is an abundant number, since it is smaller than the sum of its proper divisors (16589289548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133122100 is a wasteful number, since it uses less digits than its factorization.

12133122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11030136 (or 11030129 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12133122100 its reverse (122133121), we get a palindrome (12255255221).

The spelling of 12133122100 in words is "twelve billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred".